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Finding the Third Proportional to 308,811.23 and 669,170.11

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Solution

The third proportional to 308,811.23 and 669,170.11 is: 1,450,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,811.23 : 669,170.11 = 669,170.11 : x
  2. Step 2: Convert to fraction form
    308,811.23/669,170.11 = 669,170.11/x
  3. Step 3: Cross multiply
    308,811.23x = 669,170.11 × 669,170.11
  4. Step 4: Simplify right side
    308,811.23x = 447,788,635,280.95
  5. Step 5: Solve for x
    x = 447,788,635,280.95/308,811.23
  6. Step 6: Final answer
    x = 1,450,039.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.